2406399552 has 336 divisors, whose sum is σ = 7721925120. Its totient is φ = 713318400.

The previous prime is 2406399529. The next prime is 2406399559. The reversal of 2406399552 is 2559936042.

2406399552 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 3 + 99 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2406399498 and 2406399507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406399559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13909738 + ... + 13909910.

It is an arithmetic number, because the mean of its divisors is an integer number (22981920).

Almost surely, 2^2406399552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406399552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860962560).

2406399552 is an abundant number, since it is smaller than the sum of its proper divisors (5315525568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2406399552 is a wasteful number, since it uses less digits than its factorization.

2406399552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 2406399552 is about 49055.0665273221. The cubic root of 2406399552 is about 1340.0548637223.

The spelling of 2406399552 in words is "two billion, four hundred six million, three hundred ninety-nine thousand, five hundred fifty-two".